Answer/Step-by-step explanation:
Recall: SOHCAHTOA
1. Reference angle = 70°
Adjacent side = x
Hypotenuse = 6 cm
Apply CAH. Thus,
Cos 70 = adj/hyp
Cos 70 = x/6
6 × cos 70 = x
2.05 = x
x = 2.05 cm
2. Reference angle = 45°
Adjacent side = x
Hypotenuse = 1.3 m
Applying CAH, we would have the following ratio:
Cos 45 = adj/hyp
Cos 45 = x/1.3
1.3 × cos 45 = x
0.92 = x
x = 0.92 m
3. The who diagram is not shown well. Some parts are missing, however you can still solve the problem just the same way we solved problem 1 and 2.
A manufacturer puts tires on two cars (four tires each). Each tire has a 10% probability of being flat. Assume the manufacturer puts four tires on one car first and then another four on the next car second. What's the probability that there is at least one car that has no working tires?
The probability that there is at least one car that has no working tires is given as follows:
0.0002 = 0.02%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.For each car, the parameters are given as follows:
p = 0.9, n = 4.
Hence the probability that a car has no working tires is given as follows:
P(X = 0) = (1 - 0.9)^4 = 0.0001.
Hence the probability that two cars have working tires is given as follows:
P(X = 2) = (1 - 0.0001)² = 0.9998.
The probability that at least one has no working tires is given as follows:
P(X < 2) = 1 - 0.9998 = 0.0002 = 0.02%.
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Clarence walks 3.1 miles around Lake Johnson every day for five days.
If it takes him a total of 6 hours to walk the 15.5 miles, what is his
average time per day?
minutes per day.
Answer:
Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day
Step-by-step explanation:
To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.
Let's calculate his average time per day:
Average time per day = Total time / Number of days
Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:
Average time per day = 6 hours / 5
Average time per day = 1.2 hours per day
To convert hours to minutes, we'll multiply the average time per day by 60:
Average time per day = 1.2 hours * 60 minutes
Average time per day = 72 minutes per day
Therefore, Clarence's average time per day is 72 minutes.
Determine which set of side measurements could be used to form a right triangle.
04, 11, 20
16, 21, 25
5, 13, 25
3, 4, 5
Set of Sides which will form a right angled triangle is ( 3 , 4 , 5 )
What is the Pythagoras Theorem ?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
This statement states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
For a triangle to be Right Angled , It should obey the Pythagoras Theorem
\(c^{2} = a^{2}+b^{2}\)
c = hypotenuse
a = perpendicular side
b = base
Hence
if c = 5 , a = 3 and b = 4
Then
\(c^{2} = a^{2}+b^{2}\)
\(5^{2}= 3^{2}+4^{2}\)
25 = 3 + 16
25 = 25
So
It obeys the Pythagoras Theorem
Set of Sides which will form a right angled triangle is ( 3 , 4 , 5 )
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If you can walk 4.9 miles in 2.9 hours, how many minutes does it take to walk 8.73 miles? Round to 1 decimal.
6.73 I believe.\
Hi HI HI HI HI Hi I HI=
the tens digit of a two digit is 7. if the order of the digit is reversed the new number obtained is 45 less than the original number. what is the number?
9514 1404 393
Answer:
72
Step-by-step explanation:
The difference of 45 means the difference of digits in the number is 45/9 = 5. So, the ones digit is 7-5 = 2, and the number is 72.
__
If you want an equation, you can use x for the ones digit.
70 +x = 45 +(10x +7)
18 = 9x . . . . . . . . . . . . . subtract 52+x from both sides
2 = x
The ones digit is 2, so the number is 72.
_____
Further explanation
If you start with the two digits xy in a number and reverse them, the difference between the numbers xy and yx is ...
(10x +y) -(10y +x) = 9(x -y)
This tells you the difference between the digit-reversed numbers is 9 times the difference between the digits.
Answer:
the answer is 72
Step-by-step explanation:
:))))))
Which of the following is a major benefit of working in the health sciences industry? A. The industry is very small, so you can work with the same people for most of your career. B. Most jobs in the industry are very low stress positions. C. All positions within the industry have extremely high salaries D. There is a big variety in job types, locations, and environments to choose from.
Answer:
The answer is D (There is a big variety in job types, locations, and environments to choose from.)
Answer:D because I just got it right
Step-by-step explanation:
Bao walked 15 miles in 6 hours. What was her walking rate in miles per hour?
Group of answer choices
2.5 miles per hour
2 miles per hour
1 mile per hour
1.5 miles per hour
The solution is, 2.5 miles per hour was her walking rate in miles per hour.
We know that,
Speed is measured as distance moved over time.
The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time.
In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
Here, given that,
Bao walked 15 miles in 6 hours.
so, we get,
in 6 hours = 15 miles
so, in 1 hour = 15 / 6 miles
=2.5 miles
Hence, The solution is, 2.5 miles per hour was her walking rate in miles per hour.
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samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. the result is120 grams 15% sugar syrup. how many grams of 25% sugar syrup did samantha use?
Answer:
Final mixture is 120 gm
x = 10% then (120-x) = 25%
.25(120-x) + .1 (x) = .15 (120) solve for x= 10% amount
then 25% amount = 120-x
Step-by-step explanation:
In the picture below, line PQ is parallel to line RS, and the lines are cut by a transversal, line TU. The transversal is not perpendicular to the parallel lines.
Which of the following are congruent angles?
A. Z H
B. H G
C. Y H
D. W E
Answer:
b
Step-by-step explanation:
The congruent angles are Y and H.
What is Transversal line?A transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles .
Given that:
line PQ is parallel to line RS, and the lines are cut by a transversal, line TU.
Now, if look at angle Z and angle H they form linear pair.
Again, if look at angle H and angle G they form linear pair.
Again, if look at angle W and angle E they form linear pair.
Now, if we look angle Y and H they are vertically opposite angle.
So, the congruent angles are Y and H.
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A man bought a pair of jeans for $23.00 a shirt for $14.00 and two ties for $7.98 each. What was the total cost of his clothing ?
Answer:
$52.96
Step-by-step explanation:
To find the total cost of his clothing, add up the prices of everything he bought.
Jeans: $23.00
Shirt: $14
Ties: 2 ties for $7.98 each.
Each tie costs $7.98, and the man bought two ties. Therefore, multiply 2 and $7.98
2*$7.98 = $15.96
Add all the prices together.
jeans + shirt + ties
$23 + $14 + $15.96
$37 + $15.96
$52.96
The total cost of his clothing is $52.96
Answer:
total cost=52.96
Step-by-step explanation:
Things he bought:
jeans for $23.00
a shirt for $14.00
two ties for $7.98 each
the total const would be the sum of all his clothes
which is
jeans for $23.00
+shirt for $14.00
+one tie for $7.98
+one tie for $7.98
_______________
total cost=52.96
HOPE IT HELPS :0
PLEASE MARK IT THE BRAINLIEST!
are of a trapuiezuim
Answer:
yay girl I like it like that
GIVING BRAINLIEST!!!!
Answer:
Zack is correct with the -4.5
Step-by-step explanation:
When multiplying by .5 just cut the number in half so 4.6 becomes 2.3 and since the .5 was negative the 2.3 becomes a negative so -2.3 -2.2=-4.5
Hope this helped.
A brainliest is always appreciated.
1.
What number does 2,000 + 900 + 50 + 8 represent?
29,058
2,958
20,958
2,985
Answer:
2,958
Step-by-step explanation:
2,000+900=2,900 2,900+50=2,950 2,950+8=2,958
1. James is having a pizza party. Each person at the party eats 3/8 of a pizza if 6
people attend the party, how many slices of pizza did James need?
James needs 9/4 slices of pizza
How to calculate the slices of pizza that James need?
James is having a pizza party
Each person at the party eats 3/8 of a pizza
6 people attends the party
The number of slices of pizza that James need can be calculated as follows
3/8 × 6
= 18/8
= 9/4
Hence James need 9/4 slices of pizza
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Nelson lands 4650 on 2% interest rate. He plans to pay this after 2 months. What will the total principal and interest payment be?
The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.
To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.
First, let's find the interest amount:
Interest = Principal x Interest Rate x Time
Given:
Principal = $4650
Interest Rate = 2% per year
Time = 2 months
Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.
Interest = $4650 x 0.02 x (1/6) = $15.50
Now, we can calculate the total principal and interest payment:
Total Payment = Principal + Interest
Total Payment = $4650 + $15.50 = $4665.50
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The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it.
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.
The given statement is true.
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On a piece of paper, draw a train so that one of the angle measures 80° and another measures 40° ‘measure the third angle and measure the side lengths select 2 true statements
“The measure of the third angle is 20°”
The measure of the third angle is 40°
The measure of the third angle is 60°
All of the side lengths are different
Two of the sides have the same length
Question 2 how many triangles can be constructed with two angles measuring 80° and 100°
Question 3 a circle has a radius of 4.53cm what is the circumference of this circle use 3.14 fir pi round ur final answer to the nearest tenth
Question 4 a circle has a diameter of 6 inches what is the best approximation of its area use 3.14 to approximate for
9.42 square inches
28.26 square inches
18.96 square inches
113.04 square inches
Question 5 the bottom of a circular tent has a radius of 7 meters what is the area of the bottom of a circular tent use 3.14 for
21.98 square inches
615.44 square inches
43.96 square inches
153.86 square inches
Note that the answers to the above question are given as follows;
Question 1: The measure of the third angle is 60°.
Question 2: No triangles can be constructed with two angles measuring 80° and 100°.
Question 3: The circumference of the circle is approximately 28.5 cm.
Question 4: The best approximation of the area of the circle is 28.26 square inches.
Question 5: The area of the bottom of the circular tent is approximately 153.86 square meters.
What is the explanation for the above response?Question 1:
“The measure of the third angle is 20° False
The measure of the third angle is 40° False
The measure of the third angle is 60° True (Sum of angles in a triangle)
Question 2:
Two angles measuring 80° and 100° cannot form a triangle because the sum of the angles in any triangle must be 180°. Therefore, no triangles can be constructed with two angles measuring 80° and 100°.
Question 3:
The formula for the circumference of a circle is C = 2πr, where r is the radius and π is approximately 3.14. Therefore, the circumference of a circle with a radius of 4.53 cm is:
C = 2 x 3.14 x 4.53 ≈ 28.47 cm
Rounding to the nearest tenth, the circumference is approximately 28.5 cm.
Question 4:
The formula for the area of a circle is A = πr^2, where r is the radius and π is approximately 3.14. Since the diameter of the circle is 6 inches, the radius is half of that, or 3 inches. Therefore, the area of the circle is:
A = 3.14 x 3^2 = 28.26 square inches
Therefore, the best approximation of the area is 28.26 square inches.
Question 5:
The formula for the area of a circle is A = πr^2, where r is the radius and π is approximately 3.14. Therefore, the area of a circular tent with a radius of 7 meters is:
A = 3.14 x 7^2 ≈ 153.86 square meters
Therefore, the area of the bottom of the tent is approximately 153.86 square meters.
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Out of 85 adults selected randomly from one town, 63 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance.
a) find sample proportion P with hat on top.
b) use z subscript alpha divided by 2 end subscript equals 1.645 space spaceto find margin of Error for 90% confidence interval.
c) Find the confidence interval.
d) Interpret your interval
show work. round all numbers to at least 3 decimal places. you don't need to explain in words where you get the numbers(unless it is easier for you than writing in math notations). you can only write in math notations.it should be clear which function you are using.(normalcdf, invnorm. invt,..)
Answer:
oh shi sorry I wish I could help but I'm stupid
Brendan throws a rock into a pond. The bottom of the pond is -12.6 ft from the surface of the pond. Brendan is on a patio that is 2.7 ft above the pond. How many feet apart are Brendan and the rock? Record your answer on the grid. Then fill in the bubbles.
Answer:
The answer is -15.3
Step-by-step explanation:
all u had to do was subtract -12.6 from 2.7
The amount of money in Ryan's savings account can be represented by the equation y = 15x + 20,
where x is the number of weeks and y is the total amount of money. The amount of money in Lucy's savings account can be represented by the graph below.
The graph of the linear function y = 15x + 20 is given by the image presented at the end of the answer.
How to graph the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The function in this problem is defined as follows:
y = 15x + 20.
Hence the graph is constructed as follows:
Domain of x >= 0, as the number of weeks is a countable amount.When x = 0, y = 20.When x increases by one, y increases by 15.More can be learned about linear functions at https://brainly.com/question/24808124
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Help!!!!!! Which function is best represented by this graph
Answer:j
Step-by-step explanation:
Answer:
J
Step-by-step explanation:
6) Lily was going to have a party so she
bought some sweets.She bought some
cookies and brownies. Cookies were $2 and
brownies were $3. She spent $144 for a total
of 60 sweets. How many cookies and
brownies did she buy?
Let's assume the number of cookies Lily bought is represented by "C," and the number of brownies is represented by "B."
According to the problem, the cost of one cookie is $2, and the cost of one brownie is $3. Lily spent a total of $144.
We can set up two equations based on the given information:
C + B = 60 (equation 1, representing the total number of sweets)
2C + 3B = 144 (equation 2, representing the total cost in dollars)
To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.
From equation 1, we can rewrite it as C = 60 - B.
Now substitute this value of C in equation 2:
2(60 - B) + 3B = 144
Simplify the equation:
120 - 2B + 3B = 144
Combine like terms:
120 + B = 144
Subtract 120 from both sides:
B = 144 - 120
B = 24
Now substitute the value of B back into equation 1 to find C:
C + 24 = 60
C = 60 - 24
C = 36
Therefore, Lily bought 36 cookies and 24 brownies.
Identify the axis of symmetry, vertex, and range for the quadratic function.
What is the range of the conic section?
(yl-3≤y≤3)
Answer:
1the answer for this is easy it is 4.4
hello can you help me with this question
Answer:
B. x is less than or equal to 5
Step-by-step explanation:
The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to
In this case it is less than or equal to because the line goes to the left
Hope this helped!
What is X? X= ____________
\(x=22\)
Well some postulate or whatever says that <B and <C are supplementary meaning they add to 180. So we can put the equation as, \((4x+12)+(3x+14)=180\)
If we add it then
\(7x+26=180\)
\(7x=154\)
\(x=22\)
Which function is a shrink of the exponential growth
function shown on the graph?.
Step-by-step explanation:
An exponential function is represented by function,
\(y = a \times {b}^{x} \)
Where a is the y intercept and b is the growth factor.
The graph passes through (0,1) which is our y intercept so a=1
Know let find b.
The graph pass through (1,3) so plug in 1 for x and 3 for y.
\(3 = a \times 3 {}^{1} \)
\(a = 1\)
So our base function is
\(y = 1 \times 3 {}^{x} \)
In order for this function to shrink, we must shift the y intercept such that it is less than 1 but greater than -1.
So the only option is
\(y = \frac{1}{2} (3) {}^{x} \)
Because 1/2<1
Determine the input value for which the statement
f(x) = g(x) is true.
From the graph, the input value is approximately .
f(x) = 3 and g(x) = x – 2
3 = x – 2
5 = x
The x-value at which the two functions’ values are equal is .
Answer:
The x-value at which the two functions' values are equal is 5.
Step-by-step explanation:
Let \(f(x) = 3\) and \(g(x) = x-2\), if \(f(x) = g(x)\), then:
\(x - 2 = 3\)
\(x = 3+2\)
\(x = 5\)
The x-value at which the two functions' values are equal is 5.
Which is the graph of f(x)=4(1/2)x
Answer:
here's the graph
Step-by-step explanation:
A bag of dozen oranges was selling for $3. The manager of the store decided to add some oranges to the bag, but not to change the $3 sticker price on the bag. Now the price of the oranges was actually $2 a dozen. How many oranges were added to the bag
Answer:
A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit.
Step-by-step explanation: